101253221 has 2 divisors, whose sum is σ = 101253222. Its totient is φ = 101253220.

The previous prime is 101253211. The next prime is 101253227. The reversal of 101253221 is 122352101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99400900 + 1852321 = 9970^2 + 1361^2 .

It is an emirp because it is prime and its reverse (122352101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101253221 is a prime.

It is a super-3 number, since 3×101253221³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101253221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101253227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50626610 + 50626611.

It is an arithmetic number, because the mean of its divisors is an integer number (50626611).

Almost surely, 2^101253221 is an apocalyptic number.

It is an amenable number.

101253221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101253221 is an equidigital number, since it uses as much as digits as its factorization.

101253221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101253221 is about 10062.4659502529. The cubic root of 101253221 is about 466.0898182584.

The spelling of 101253221 in words is "one hundred one million, two hundred fifty-three thousand, two hundred twenty-one".